472962320 has 20 divisors (see below), whose sum is σ = 1099637580. Its totient is φ = 189184896.

The previous prime is 472962299. The next prime is 472962337. The reversal of 472962320 is 23269274.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 284394496 + 188567824 = 16864^2 + 13732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×472962320² = 447386712279564800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2955935 + ... + 2956094.

It is an arithmetic number, because the mean of its divisors is an integer number (54981879).

Almost surely, 2^472962320 is an apocalyptic number.

472962320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472962320 is an abundant number, since it is smaller than the sum of its proper divisors (626675260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472962320 is a wasteful number, since it uses less digits than its factorization.

472962320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912042 (or 5912036 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 472962320 is about 21747.6968895559. The cubic root of 472962320 is about 779.1280635677.

The spelling of 472962320 in words is "four hundred seventy-two million, nine hundred sixty-two thousand, three hundred twenty".